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Simplifying 9(x + 7) + x = 2(x + 5) + 2 Reorder the terms: 9(7 + x) + x = 2(x + 5) + 2 (7 * 9 + x * 9) + x = 2(x + 5) + 2 (63 + 9x) + x = 2(x + 5) + 2 Combine like terms: 9x + x = 10x 63 + 10x = 2(x + 5) + 2 Reorder the terms: 63 + 10x = 2(5 + x) + 2 63 + 10x = (5 * 2 + x * 2) + 2 63 + 10x = (10 + 2x) + 2 Reorder the terms: 63 + 10x = 10 + 2 + 2x Combine like terms: 10 + 2 = 12 63 + 10x = 12 + 2x Solving 63 + 10x = 12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 63 + 10x + -2x = 12 + 2x + -2x Combine like terms: 10x + -2x = 8x 63 + 8x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 63 + 8x = 12 + 0 63 + 8x = 12 Add '-63' to each side of the equation. 63 + -63 + 8x = 12 + -63 Combine like terms: 63 + -63 = 0 0 + 8x = 12 + -63 8x = 12 + -63 Combine like terms: 12 + -63 = -51 8x = -51 Divide each side by '8'. x = -6.375 Simplifying x = -6.375
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